SOLUTION: Solve following the quadratic equation {{{ 9x^2-8=-34x }}}

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Question 853742: Solve following the quadratic equation
+9x%5E2-8=-34x+
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
+9x%5E2-8=-34x+

+9x%5E2%2B34x-8=0+
we can solve this by squaring method
divide by 9
x%5E2+%2B%2834%2F9%29x+=+8%2F9
Third term = (1/2* coefficient of second term )^2
= %28%281%2F2%29+%2A+%2834%2F9%29%29%5E2
=%2817%2F9%29%5E2
=x%5E2+%2B%2834%2F9%29x%2B%2817%2F9%29%5E2+=+8%2F9+%2B%2817%2F9%29%5E2
=%28x%2B%2817%2F9%29%29%5E2=+%288%2F9%29+%2B%2817%2F9%29%5E2
x%2B%2817%2F9%29=+sqrt%28361%2F81%29
x+17/9 = +/- 19/9
x=-17/9 -19/9
=-36/9
=-4
OR
x=-17/9 +19/9
x=2/9
x=2/9 OR -4